Nonlinear gradient estimates for elliptic equations in quasiconvex domains

DOI10.1007/S00526-015-0830-5zbMath1329.35091OpenAlexW2037017004MaRDI QIDQ745552

Hyoungsuk So, Lihe Wang, Hun Kwon, Sun-Sig Byun

Publication date: 14 October 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-015-0830-5

zbMATH Keywords

equations of \(p\)-Laplacian typegeneralization to Orlicz spacesglobal nonlinear Calderón-Zygmund result

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (7)

Gradient estimates via the Wolff potentials for a class of quasilinear elliptic equations ⋮ Weak maximum principle for biharmonic equations in quasiconvex Lipschitz domains ⋮ Quasilinear elliptic equations on convex domains ⋮ Sharp gradient estimates for quasilinear elliptic equations with \(p(x)\) growth on nonsmooth domains ⋮ Lorentz estimate with a variable power for parabolic obstacle problems with non-standard growths ⋮ Weighted Lorentz gradient estimates for a class of quasilinear elliptic equations with measure data ⋮ Higher integrability result for nonlinear elliptic systems with conormal boundary conditions

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